一类次线性算子在非双倍测度下的有界性(英文)  

BOUNDEDNESS OF THE SUB-LINEAR OPERATORS FOR NON-DOUBLING MEASURE

作　　者：赵凯[1] 任晓芳[2] 周淑娟[1] 

机构地区：[1]青岛大学数学科学学院 [2]青岛大学师范学院数学系,山东青岛266071

出　　处：《数学杂志》2008年第6期623-628,共6页Journal of Mathematics

摘　　要：本文研究了算子在d上只满足增长条件的Randon测度μ条件下的有界性问题,利用Lq有界性假设、Herz空间的概念和次线性算子的性质,证明了在非双倍测度下,一类次线性算子在Herz空间中的几个有界性.推广了双倍测度时的情形.In this paper,we discuss the boundedness of operators under the growth condition on Randon measure μ on R^d which may be non-doubling.By the definition of the Herz spaces and the properties of the sublinear operator,we obtain some results on boundedness of the sub-linear operator on Herz spaces for non-doubling measure with L^q boundedness.And these results generalize the same conclusion for doubling measure.

关 键 词：次线性算子 HERZ空间 非双倍测度 

分 类 号：O174.2[理学—数学]